(3y-2)+(y+10)=180

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Solution for (3y-2)+(y+10)=180 equation:


Simplifying
(3y + -2) + (y + 10) = 180

Reorder the terms:
(-2 + 3y) + (y + 10) = 180

Remove parenthesis around (-2 + 3y)
-2 + 3y + (y + 10) = 180

Reorder the terms:
-2 + 3y + (10 + y) = 180

Remove parenthesis around (10 + y)
-2 + 3y + 10 + y = 180

Reorder the terms:
-2 + 10 + 3y + y = 180

Combine like terms: -2 + 10 = 8
8 + 3y + y = 180

Combine like terms: 3y + y = 4y
8 + 4y = 180

Solving
8 + 4y = 180

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 4y = 180 + -8

Combine like terms: 8 + -8 = 0
0 + 4y = 180 + -8
4y = 180 + -8

Combine like terms: 180 + -8 = 172
4y = 172

Divide each side by '4'.
y = 43

Simplifying
y = 43

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